Least Common Multiple (LCM) of 92 and 138
The least common multiple (LCM) of 92 and 138 is 276.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 92 and 138?
First, calculate the GCD of 92 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 138 = 0 remainder 92 |
| 2 | 138 ÷ 92 = 1 remainder 46 |
| 3 | 92 ÷ 46 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 90 | 6570 |
| 190 and 20 | 380 |
| 196 and 156 | 7644 |
| 110 and 145 | 3190 |
| 88 and 13 | 1144 |